American Mathematics Competitions
2009 AMC 10 A Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5368
Number of unofficial participants: 5
Average score of participants: 75.4
Average score for female students is: 68.8 ( 1798 Students)
Average score for male students is: 79.7 ( 2318 Students)
Average score for unspecified gender is 76.9 ( 1252 Students)
Average score for grade 10 is: 75.5 ( 2323 Students)
Average score for grade 9 is: 71.4 ( 1949 Students)
Average score for grade 8 and below is: 88.3 ( 563 Students)
Average score with unknown grade: 76.3 ( 533 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 268
Number of schools returning results 199
Average school winning score 110.62
American Mathematics Competitions
2009 AMC 12 A Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5649
Number of unofficial participants: 0
Average score of participants: 71.4
Average score for female students is: 66.1 ( 1877 Students)
Average score for male students is: 74.8 ( 2620 Students)
Average score for unspecified gender is 72.1 ( 1152 Students)
Average score for grade 13 is: 60.0 ( 1 Student)
Average score for grade 12 is: 71.6 ( 2006 Students)
Average score for grade 11 is: 70.6 ( 2746 Students)
Average score for grade 10 is: 70.8 ( 417 Students)
Average score for grade 9 is: 73.0 ( 121 Students)
Average score for grade 8 and below is: 87.2 ( 15 Students)
Average score with unknown grade: 75.1 ( 343 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 452
Number of schools returning results 189
Average school winning score 100.56
Average school team score 272.28
American Mathematics Competitions
2009 AMC 10 B Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4271
Number of unofficial participants: 20
Average score of participants: 71.3
Average score for female students is: 65.3 ( 1521 Students)
Average score for male students is: 76.1 ( 1829 Students)
Average score for unspecified gender is 71.6 ( 921 Students)
Average score for grade 10 is: 70.0 ( 1934 Students)
Average score for grade 9 is: 69.1 ( 1518 Students)
Average score for grade 8 and below is: 88.4 ( 417 Students)
Average score with unknown grade: 67.9 ( 402 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 188
Number of schools returning results 165
Average school winning score 108.61
American Mathematics Competitions
2009 AMC 12 B Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4098
Number of unofficial participants: 0
Average score of participants: 72.9
Average score for female students is: 66.5 ( 1243 Students)
Average score for male students is: 76.5 ( 2064 Students)
Average score for unspecified gender is 73.4 ( 791 Students)
Average score for grade 13 is: 45.0 ( 2 Students)
Average score for grade 12 is: 72.1 ( 1437 Students)
Average score for grade 11 is: 71.6 ( 1929 Students)
Average score for grade 10 is: 80.6 ( 266 Students)
Average score for grade 9 is: 83.8 ( 108 Students)
Average score for grade 8 and below is: 99.9 ( 30 Students)
Average score with unknown grade: 72.1 ( 326 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 421
Number of schools returning results 167
Average school winning score 103.48
Average school team score 278.51
2009 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
415.5 1 1
399.0 1 1 2
396.0 1 4
394.5 1 1 5
391.5 1 7
387.0 1 8
385.5 1 1 9
379.5 1 11
378.0 1 12
376.5 1 13
375.0 1 14
373.5 1 15
372.0 1 16
370.5 2 2 17
369.0 1 21
366.0 1 2 22
363.0 1 25
360.0 3 26
357.0 2 29
355.5 2 1 31
354.0 2 34
352.5 2 36
349.5 1 1 38
346.5 1 40
345.0 3 41
343.5 3 44
340.5 2 47
339.0 2 49
336.0 1 51
334.5 1 52
331.5 1 1 53
330.0 2 55
328.5 3 1 57
327.0 3 1 61
325.5 1 5 65
324.0 1 2 71
322.5 1 1 74
321.0 1 1 76
319.5 4 78
318.0 1 82
316.5 1 2 83
315.0 4 1 86
313.5 1 91
312.0 1 6 92
310.5 2 1 99
309.0 4 1 102
307.5 1 3 107
306.0 2 3 111
304.5 5 116
303.0 1 3 121
301.5 2 4 125
300.0 1 131
298.5 2 1 132
297.0 2 1 135
295.5 2 2 138
294.0 4 1 142
292.5 1 1 147
291.0 5 149
289.5 1 1 154
288.0 2 3 156
286.5 2 4 161
285.0 2 4 167
283.5 2 173
282.0 4 175
280.5 1 179
279.0 1 2 180
277.5 1 4 183
276.0 3 2 188
274.5 6 2 193
271.5 5 1 201
270.0 1 2 207
268.5 4 5 210
267.0 2 2 219
265.5 4 1 223
264.0 1 1 228
262.5 3 1 230
261.0 4 2 234
259.5 1 1 240
258.0 1 242
256.5 1 243
255.0 3 2 244
253.5 2 249
252.0 1 1 251
250.5 2 1 253
249.0 2 1 256
247.5 3 1 259
246.0 1 263
244.5 2 1 264
243.0 1 2 267
241.5 2 1 270
240.0 3 3 273
238.5 2 1 279
237.0 2 1 282
235.5 1 1 285
234.0 2 1 287
231.0 2 290
229.5 1 1 292
228.0 1 294
226.5 2 2 295
225.0 3 299
223.5 1 1 302
222.0 2 304
220.5 4 1 306
216.0 1 311
213.0 1 312
211.5 1 313
210.0 1 314
208.5 1 315
207.0 3 1 316
202.5 1 320
201.0 1 1 321
199.5 1 323
196.5 1 324
192.0 1 325
189.0 1 326
187.5 1 327
186.0 1 1 328
175.5 1 330
174.0 1 331
163.5 1 2 332
160.5 1 335
156.0 1 336
153.0 1 337
147.0 1 338
145.5 1 339
144.0 1 340
138.0 1 341
132.0 1 342
130.5 1 343
121.5 1 344
111.0 1 345
106.5 1 346
103.5 1 347
93.0 1 348
91.5 1 349
90.0 1 350
85.5 1 351
82.5 1 352
78.0 1 353
2009 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 1 11 13
145.5 1 1 3
144.0 1 30 9
141.0 1 1 3 3
139.5 2 10 3
138.0 2 1 16 15
136.5 2 2 2 1
135.0 1 14 11
133.5 1 1 10 3
132.0 5 5 15 21
130.5 5 2 12 2
129.0 4 2 14 9
127.5 9 6 14 7
126.0 4 14 25 21
124.5 4 1 16 12
123.0 5 6 15 15
121.5 11 9 21 13
120.0 7 14 39 27
118.5 6 9 25 5
117.0 6 10 13 14
115.5 8 6 34 11
114.0 9 19 48 28
112.5 15 13 23 14
111.0 12 14 30 20
109.5 20 28 27 26
108.0 22 35 52 28
106.5 16 24 40 13
105.0 36 40 54 26
103.5 19 38 51 30
102.0 38 46 52 63
100.5 84 70 40 23
99.0 49 57 68 33
97.5 50 49 66 37
96.0 48 57 98 73
94.5 115 110 74 43
93.0 65 69 79 45
91.5 77 73 79 53
90.0 91 63 133 75
88.5 118 108 72 63
87.0 99 108 116 66
85.5 97 72 127 69
84.0 117 90 145 92
82.5 198 112 95 76
81.0 178 95 130 78
79.5 140 110 129 89
78.0 173 110 145 103
76.5 222 120 138 97
75.0 152 117 134 94
73.5 166 115 124 109
72.0 257 131 196 122
70.5 192 105 134 117
69.0 190 98 126 116
67.5 212 111 158 118
66.0 210 102 164 136
64.5 189 93 125 106
63.0 181 96 134 113
61.5 170 81 129 128
60.0 196 101 152 127
58.5 149 105 121 99
57.0 113 79 110 127
55.5 117 81 112 112
54.0 165 102 117 134
52.5 98 97 84 103
51.0 85 75 86 85
49.5 78 58 90 86
48.0 86 76 117 119
46.5 65 57 72 72
45.0 57 37 53 53
43.5 44 53 52 53
42.0 61 54 76 73
40.5 30 37 32 52
39.0 40 33 25 32
37.5 22 33 32 35
36.0 31 36 42 49
34.5 11 10 18 18
33.0 21 13 21 22
31.5 13 10 20 13
30.0 18 24 23 22
28.5 6 11 1 8
27.0 9 7 3 10
25.5 4 4 12 2
24.0 10 12 10 16
22.5 3 4 2
21.0 5 2
19.5 1 2 2
18.0 1 4 4 7
16.5 1 1
15.0 1 1 1
13.5 1 2
12.0 1 5
7.5 1
American Mathematics Competitions
2009 AMC 10 A Results for California
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
150.0 8 2 2 4 5
145.5 1 1
144.0 21 1 4 6 9 9 2
141.0 2 2 1
139.5 5 2 4 2 4
138.0 13 1 2 3 4 6 1
136.5 1 1 1 1
135.0 13 1 1 4 4 5
133.5 8 1 1 4 3 2
132.0 12 3 5 2 3 5
130.5 5 4 1 6 5
129.0 12 2 1 5 5 1
127.5 7 3 1 1 4 3 5
126.0 23 1 4 3 6 12
124.5 8 4 2 2 6 5 1
123.0 11 4 1 3 5 6
121.5 10 4 7 2 7 5
120.0 26 7 3 11 11 12 2
118.5 14 3 1 1 8 12 3
117.0 7 4 1 9 2 1
115.5 17 4 1 6 11 13 3
114.0 28 5 7 17 19 5
112.5 13 5 5 7 10 1
111.0 15 7 2 4 12 9 3
109.5 15 8 2 3 5 16 1
108.0 29 13 2 7 13 25 5
106.5 21 10 3 2 5 9 17 4
105.0 33 9 1 3 8 19 18 5
103.5 18 15 2 4 15 23 7
102.0 27 11 1 2 6 13 22 8
100.5 20 5 1 4 12 15 8
99.0 25 23 3 6 25 26 8
97.5 25 14 1 1 3 19 28 14
96.0 45 27 3 3 10 27 42 13
94.5 30 22 1 2 3 25 33 10
93.0 39 19 4 9 19 35 12
91.5 35 22 2 2 5 24 36 10
90.0 65 36 6 5 45 65 12
88.5 32 22 2 1 5 21 35 8
87.0 49 32 2 6 9 35 47 17
85.5 60 33 1 6 10 32 65 13
84.0 81 38 2 3 13 41 72 14
82.5 49 27 2 3 7 27 48 8
81.0 65 39 1 4 11 32 70 12
79.5 63 34 1 3 9 56 45 15
78.0 64 49 4 11 10 48 60 12
76.5 59 46 3 4 11 41 68 11
75.0 55 35 1 5 7 42 61 18
73.5 55 38 2 4 4 45 59 10
72.0 74 59 5 9 72 83 27
70.5 50 51 2 2 5 54 56 15
69.0 56 40 4 8 44 56 14
67.5 72 50 2 7 9 43 79 18
66.0 73 58 3 5 9 63 75 9
64.5 43 44 1 1 8 41 59 15
63.0 57 57 2 3 4 51 67 7
61.5 42 50 2 3 4 46 52 22
60.0 47 65 2 5 4 57 67 17
58.5 47 55 3 3 60 45 10
57.0 43 45 1 2 5 47 49 6
55.5 47 44 2 2 2 52 45 9
54.0 35 55 2 1 45 60 9
52.5 27 42 1 37 38 8
51.0 35 38 1 2 37 41 5
49.5 31 42 5 44 34 7
48.0 43 49 1 1 53 51 11
46.5 27 40 1 39 28 4
45.0 16 24 1 32 13 7
43.5 15 27 1 26 21 4
42.0 26 39 1 1 35 34 5
40.5 7 23 1 17 11 3
39.0 8 13 14 10 1
37.5 11 14 1 18 9 4
36.0 12 21 1 1 24 11 5
34.5 7 6 1 7 8 2
33.0 6 11 1 15 4 1
31.5 5 11 1 1 14 4
30.0 6 13 12 10 1
28.5 1 1
27.0 3 2 1
25.5 3 7 2 7 3
24.0 2 3 1 5 3 1
22.5 3 1 2 2
19.5 1 1 1
18.0 1 2 1 2 1
16.5 1 1
15.0 1 1
American Mathematics Competitions
2009 AMC 10 A Results for California
Analysis
Table of Item Difficulty for the 2009
American Mathematics Competitions 10/12
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.20 0.22 0.28 6.46 92.55* 0.28 0.00
2 93.22* 1.45 0.82 1.02 1.68 1.81 0.00
3 1.14 4.73 85.94* 3.20 1.84 3.15 0.00
4 42.31* 6.28 4.32 7.95 12.22 26.92 0.00
5 10.43 3.99 5.40 3.15 59.46* 17.57 0.00
6 74.53* 2.18 5.31 2.79 0.71 14.47 0.00
7 4.94 4.32 40.39* 4.01 26.86 19.41 0.07
8 6.54 82.75* 3.00 1.70 1.10 4.88 0.04
9 9.17 33.72* 7.10 4.40 0.89 44.69 0.04
10 3.67 30.23* 5.09 12.93 1.73 46.35 0.00
11 1.73 2.07 2.92 70.75* 1.49 21.01 0.02
12 3.26 5.72 35.30* 6.58 6.95 42.18 0.02
13 20.58 4.23 3.09 10.95 25.17* 35.95 0.02
14 50.22* 1.83 4.99 3.52 9.02 30.40 0.02
15 2.27 3.20 4.12 6.58 53.97* 29.84 0.02
16 21.16 5.31 4.25 16.92* 5.64 46.70 0.02
17 3.93 11.98 14.31* 2.85 3.15 63.79 0.00
18 14.94 13.34 8.01 22.73* 6.54 34.43 0.02
19 5.25 16.73* 9.71 7.79 2.83 57.66 0.04
20 7.43 7.23 8.46 42.64* 2.12 32.10 0.02
21 3.54 3.20 14.25* 4.40 2.91 71.68 0.02
22 6.37 5.07 27.70 8.40* 2.79 49.65 0.02
23 2.94 2.96 5.44 4.25 9.65* 74.72 0.04
24 6.84 13.58 10.97* 4.71 6.20 57.68 0.02
25 10.19 5.64* 6.02 4.27 3.48 70.40 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2009 AMC 12 A Results for California
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
150.0 1 1
141.0 1
138.0 2 2
136.5 2 1 1
135.0 1 1
133.5 1 1
132.0 4 4 1
130.5 3 1 3 2
129.0 4 1 1 2
127.5 2 2 3 4 2
126.0 4 1 3
124.5 3 1 1 2
123.0 3 2 1 4
121.5 8 1 1 5 5
120.0 6 1 1 4 2
118.5 2 1 2 3 1
117.0 3 3 3 3
115.5 8 1 2 4 1
114.0 6 2 1 4 4
112.5 10 2 1 8 5 1
111.0 10 2 8 4
109.5 15 3 1 1 1 10 6 1
108.0 13 3 1 3 9 7 2
106.5 9 2 1 3 3 6 3
105.0 23 9 1 2 19 12 2
103.5 10 3 1 1 7 8 2
102.0 28 4 1 2 5 16 12 2
100.5 58 9 5 44 29 6
99.0 28 7 1 1 21 24 2
97.5 28 10 1 1 1 1 3 18 20 5
96.0 27 8 1 2 27 13 5
94.5 70 27 3 6 37 60 9
93.0 35 14 1 5 35 19 5
91.5 46 17 3 5 42 20 7
90.0 52 16 1 5 43 29 13
88.5 74 22 3 12 40 54 9
87.0 49 26 2 5 50 28 14
85.5 52 32 1 6 49 35 6
84.0 68 16 3 4 52 49 9
82.5 102 50 4 19 86 73 16
81.0 83 51 4 10 75 74 15
79.5 58 44 3 5 65 53 14
78.0 80 59 1 2 9 84 64 13
76.5 106 74 4 14 118 74 12
75.0 68 53 1 5 12 80 42 12
73.5 68 64 6 13 68 69 10
72.0 124 74 1 22 122 93 19
70.5 87 70 7 10 100 64 11
69.0 84 72 6 14 92 70 8
67.5 94 70 1 4 17 102 75 13
66.0 105 59 4 14 109 68 15
64.5 93 58 1 7 20 92 59 10
63.0 76 68 1 4 25 82 65 4
61.5 56 75 7 12 76 69 6
60.0 98 65 3 9 115 62 1 6
58.5 59 55 10 81 51 7
57.0 42 53 2 8 62 37 4
55.5 49 47 5 8 70 26 8
54.0 63 71 4 14 87 51 9
52.5 32 48 5 54 37 2
51.0 30 37 1 6 46 29 3
49.5 26 37 1 8 35 28 6
48.0 32 34 1 2 7 46 28 2
46.5 22 33 5 35 23 2
45.0 23 29 2 2 29 22 2
43.5 12 25 6 23 12 3
42.0 20 26 1 6 27 25 2
40.5 10 17 1 4 12 12 1
39.0 10 25 7 18 15
37.5 8 13 1 15 6
36.0 8 17 2 1 16 12
34.5 3 5 6 4 1
33.0 3 11 2 6 12 1
31.5 4 7 1 8 3 1
30.0 5 10 2 9 7
28.5 3 1 3 3
27.0 1 7 1 3 5
25.5 1 3 2 2
24.0 2 6 1 3 4 2
21.0 1 4 1 2 2
19.5 1 1
18.0 1 1
16.5 1 1
15.0 1 1
13.5 1 1
12.0 1 1
American Mathematics Competitions
2009 AMC 12 A Results for California
Analysis
Table of Item Difficulty for the 2009
American Mathematics Competitions 10/12
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 89.41* 5.97 0.81 0.35 1.59 1.86 0.00
2 0.42 2.51 94.07* 1.50 0.81 0.67 0.00
3 5.12 82.05* 2.73 4.90 1.88 3.29 0.04
4 95.54* 0.60 0.53 0.58 1.38 1.36 0.00
5 0.87 1.33 1.81 86.19* 0.89 8.90 0.02
6 19.38 3.68 2.76 10.37 45.69* 18.09 0.02
7 2.14 33.88* 6.05 2.80 2.55 52.58 0.00
8 66.14* 1.61 4.92 3.59 7.65 16.06 0.04
9 1.96 3.45 4.35 47.97* 5.01 37.25 0.00
10 3.04 5.68 45.96* 7.33 6.85 31.14 0.00
11 1.63 2.21 3.59 4.83 72.46* 15.26 0.02
12 11.10 32.98* 6.60 6.32 3.12 39.88 0.00
13 9.97 9.70 14.82 25.03* 5.81 34.66 0.02
14 3.82 7.35* 9.01 12.18 4.97 62.61 0.05
15 7.35 5.70 9.21 31.83* 5.91 40.01 0.00
16 12.94 7.90 7.75 8.53* 3.29 59.53 0.05
17 4.71 3.98 11.15* 5.58 7.47 67.09 0.02
18 15.03 7.15* 5.54 2.60 3.27 66.38 0.02
19 6.74 7.26 7.47* 6.87 9.26 62.40 0.00
20 2.80 3.24 6.71 3.95 8.44* 74.86 0.00
21 5.12 4.46 6.57* 2.67 3.98 77.18 0.02
22 2.64 4.16 4.46 3.95 2.67* 82.12 0.00
23 1.88 2.69 3.68 2.92* 0.92 87.91 0.00
24 6.66 5.01 4.58 3.66 1.35* 78.74 0.00
25 2.76* 4.57 4.66 5.17 7.36 75.46 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2009 AMC 10 B Results for California
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
150.0 12 1 3 4 5
145.5 1 3
144.0 6 2 2 5
141.0 3 1 1 1
139.5 3 1 2
138.0 9 2 2 3 2 8
136.5 1 1
135.0 5 1 1 2 4 4
133.5 1 1 1 1
132.0 16 1 5 4 3 7 2
130.5 2 1 1
129.0 4 2 3 1 2 3
127.5 6 1 1 1 1 2 2
126.0 16 2 2 5 9 5
124.5 7 1 3 6 1 2
123.0 11 1 1 5 5 3 1
121.5 8 4 4 2 7
120.0 17 5 1 5 17 4
118.5 3 1 2 1 2
117.0 11 3 1 2 2 5 4
115.5 6 3 1 1 3 5 1
114.0 16 4 1 2 3 10 10 2
112.5 11 2 6 7 1
111.0 11 4 4 5 10 1
109.5 14 3 1 4 9 10 2
108.0 18 4 2 3 4 11 6 2
106.5 10 1 1 4 1 6 1
105.0 18 4 4 1 4 4 12 1
103.5 13 10 2 3 6 17 2
102.0 30 16 3 4 5 21 21 9
100.5 12 5 1 1 7 12 2
99.0 20 8 1 4 5 7 15 1
97.5 24 7 1 1 4 12 16 3
96.0 38 21 2 5 10 22 29 5
94.5 25 10 1 2 5 13 17 5
93.0 22 14 1 2 4 15 21 2
91.5 27 14 1 4 4 17 23 4
90.0 41 17 2 3 12 19 33 6
88.5 27 16 1 1 6 22 24 9
87.0 32 20 3 7 19 31 6
85.5 31 23 1 2 6 22 30 8
84.0 45 34 1 5 8 28 43 7
82.5 40 22 1 3 5 22 38 7
81.0 25 31 2 4 29 35 8
79.5 43 31 1 6 3 28 41 10
78.0 49 28 3 6 34 52 8
76.5 28 45 2 1 5 28 50 11
75.0 43 29 1 4 6 34 37 12
73.5 43 40 2 1 4 42 51 9
72.0 62 35 5 5 42 60 10
70.5 43 41 1 4 6 38 51 17
69.0 47 43 3 2 48 49 14
67.5 43 49 5 3 43 53 14
66.0 55 58 1 3 49 73 10
64.5 45 38 3 2 45 47 9
63.0 47 43 1 4 3 46 51 8
61.5 54 44 2 4 45 65 12
60.0 39 54 1 5 7 34 62 18
58.5 31 42 4 35 50 10
57.0 40 57 1 3 45 64 14
55.5 45 49 1 3 40 61 7
54.0 58 47 1 1 5 69 48 10
52.5 28 51 1 1 46 43 12
51.0 40 33 31 49 5
49.5 26 49 1 39 42 4
48.0 51 37 1 2 5 49 49 13
46.5 23 34 1 30 34 7
45.0 16 29 1 2 17 27 6
43.5 17 26 1 3 14 28 7
42.0 28 32 1 30 32 10
40.5 14 26 1 27 17 7
39.0 11 16 2 7 20 3
37.5 8 16 14 16 5
36.0 20 21 1 16 28 4
34.5 3 12 1 6 11
33.0 8 10 2 8 7 5
31.5 3 8 7 5 1
30.0 8 8 11 8 3
28.5 1 6 2 5 1
27.0 3 3 5 2 3
25.5 2 1 1
24.0 3 9 1 8 5 2
22.5 1 1 1 1
18.0 2 4 5 2
American Mathematics Competitions
2009 AMC 10 B Results for California
Analysis
Table of Item Difficulty for the 2009
American Mathematics Competitions 10/12
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.75 73.71* 6.67 14.26 2.67 1.94 0.00
2 1.31 0.94 94.05* 0.44 0.35 2.90 0.00
3 0.91 3.49 73.43* 15.06 1.24 5.88 0.00
4 2.11 2.39 73.61* 10.79 2.60 8.50 0.00
5 7.80 2.06 19.11 55.82* 3.35 11.78 0.09
6 1.12 1.80 4.78 74.17* 3.28 14.84 0.00
7 11.82 16.48 54.72* 8.29 5.06 3.63 0.00
8 4.24 36.57* 8.48 31.84 4.26 14.61 0.00
9 44.74* 3.70 4.94 7.96 3.14 35.52 0.00
10 8.17 2.83 4.10 4.64 49.22* 31.02 0.02
11 59.03* 7.00 4.50 5.15 1.80 22.52 0.00
12 26.27* 13.56 9.46 14.45 11.10 25.12 0.05
13 3.98 13.09 45.12* 7.33 9.93 20.51 0.05
14 5.10 26.25 20.00 17.12* 7.26 24.28 0.00
15 7.87 6.84 3.44 6.56 50.36* 24.94 0.00
16 4.64 17.16* 5.69 3.37 7.33 61.79 0.02
17 17.33 13.42 21.80* 2.55 1.24 43.67 0.00
18 4.47 6.37 6.84 15.71* 3.65 62.94 0.02
19 20.98* 17.84 9.74 10.56 4.14 36.71 0.02
20 6.09 16.25* 8.50 1.87 3.44 63.85 0.00
21 5.67 13.84 5.90 13.30* 4.47 56.83 0.00
22 3.28 6.09* 5.62 4.92 2.44 77.66 0.00
23 5.13 7.98 11.19* 6.46 4.96 64.27 0.00
24 14.38* 4.35 4.68 3.63 5.24 67.71 0.00
25 15.20 14.54* 9.04 5.95 5.31 49.96 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2009 AMC 12 B Results for California
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
150.0 1 1
145.5 1 1
144.0 1 1
141.0 1
139.5 1 1 1 1
138.0 1 1
136.5 2 1 1
133.5 1 1
132.0 3 2 1 2
130.5 2 1 1
129.0 2 1 1
127.5 5 1 1 1 4
126.0 6 1 1 1 1 7 2 2
124.5 1 1
123.0 4 1 3 2
121.5 7 1 3 3 2
120.0 13 1 1 2 8 2
118.5 7 1 1 1 3 3 1
117.0 7 1 2 1 5 1
115.5 5 1 1 1 3 1
114.0 14 1 1 2 9 7
112.5 9 2 3 1 6 3
111.0 11 1 1 8 3 1
109.5 19 5 1 5 14 7 1
108.0 17 10 1 2 5 11 12 4
106.5 19 4 1 3 12 7 1
105.0 28 8 1 3 4 15 13 4
103.5 23 7 1 1 18 14 4
102.0 26 7 2 3 6 13 20 2
100.5 45 11 1 2 7 36 21 3
99.0 32 8 8 22 21 6
97.5 28 7 1 3 4 18 19 4
96.0 28 15 1 4 6 26 12 8
94.5 74 20 2 1 6 16 56 27 2
93.0 36 15 1 3 10 23 27 5
91.5 43 13 1 7 32 23 10
90.0 37 11 2 5 5 26 19 6
88.5 60 29 1 4 7 50 34 12
87.0 57 31 3 5 45 47 8
85.5 44 20 5 2 28 32 5
84.0 45 24 1 4 9 35 35 6
82.5 65 26 1 4 5 56 37 9
81.0 52 26 1 1 4 4 47 32 6
79.5 59 29 1 8 53 39 9
78.0 62 28 3 6 57 32 12
76.5 68 33 2 5 57 49 7
75.0 61 39 1 3 8 57 41 7
73.5 64 30 2 9 50 47 7
72.0 70 36 2 8 64 44 13
70.5 58 29 1 2 49 46 7
69.0 44 26 1 5 54 27 11
67.5 50 40 1 54 47 9
66.0 60 24 3 8 45 39 7
64.5 32 39 8 48 29 8
63.0 32 45 1 6 48 30 11
61.5 37 27 3 3 44 25 6
60.0 50 35 7 47 42 1 4
58.5 50 36 1 3 48 42 11
57.0 26 40 5 42 25 7
55.5 35 30 1 2 46 25 7
54.0 36 41 2 3 52 34 11
52.5 43 44 10 48 37 2
51.0 28 28 2 4 35 28 6
49.5 19 29 2 1 31 17 7
48.0 25 34 1 1 37 27 10
46.5 12 28 2 3 23 23 6
45.0 15 19 1 2 16 17 1
43.5 13 30 1 1 2 22 21 6
42.0 25 20 3 26 22 3
40.5 18 13 1 23 10 3
39.0 14 13 17 13 3
37.5 11 18 1 1 18 12 1
36.0 15 13 2 16 14 4
34.5 5 5 1 7 2
33.0 7 6 7 6
31.5 2 6 5 3 2
30.0 10 6 2 15 5 1 1
28.5 5 4 1 5 5
27.0 4 2 6 1
25.5 1 2 2 2
24.0 7 3 5 4 3
22.5 2 1 1 2
21.0 1 1 1 1
19.5 2 1 1
18.0 2 1 3 1
15.0 1
13.5 1 1 1 1
12.0 2 2 3 2
7.5 1 1
American Mathematics Competitions
2009 AMC 12 B Results for California
Analysis
Table of Item Difficulty for the 2009
American Mathematics Competitions 10/12
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.56 81.28* 5.27 9.52 2.73 0.63 0.00
2 0.44 2.90 80.36* 13.06 0.66 2.56 0.02
3 6.25 1.61 14.59 69.74* 2.54 5.27 0.00
4 1.20 1.81 82.97* 9.22 1.39 3.42 0.00
5 0.98 1.20 3.90 84.82* 2.20 6.88 0.02
6 8.22 13.20 66.74* 6.61 3.10 2.12 0.00
7 4.51 60.37* 6.91 19.03 2.73 6.44 0.00
8 4.15 4.44 2.81 5.20 70.89* 12.52 0.00
9 58.15* 5.32 3.15 6.22 1.90 25.21 0.05
10 43.92* 16.86 9.37 7.83 3.34 18.59 0.07
11 4.12 25.23 20.57 24.52* 8.13 17.40 0.02
12 2.93 2.88 6.69 3.42 46.83* 37.26 0.00
13 2.83 4.47 5.81 27.84* 7.44 51.59 0.02
14 11.10 11.59 40.68* 2.42 1.24 32.94 0.02
15 1.10 56.91* 8.00 6.91 4.73 22.35 0.00
16 4.25 6.17* 4.08 2.95 1.46 81.09 0.00
17 20.11 20.60* 7.64 4.71 4.78 42.17 0.00
18 5.15 7.30 15.74* 5.83 5.10 60.83 0.05
19 1.90 3.93 4.17 2.49 4.27* 83.24 0.00
20 2.93 3.47 4.59* 2.54 3.39 83.09 0.00
21 5.78* 5.32 4.83 11.54 22.11 50.39 0.02
22 1.88 3.10 4.56* 4.44 1.59 84.41 0.02
23 2.54 3.44 3.51 4.64* 1.98 83.89 0.00
24 6.95 6.64* 3.29 4.20 1.54 77.35 0.02
25 6.37 4.27 4.59 3.95 3.86* 76.94 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column